De Morgan Application — When De Morgan s theorem is applied to a NOR function, can we obtain an equivalent expression that yields an identical truth table?

Introduction:
De Morgan transformations are core tools for switching between sums with inversion and products with inverted variables. Understanding how NOR relates to AND with inverted inputs lets you re-express logic while preserving functionality.

Given Data / Assumptions:

• NOR is defined as NOT (A + B + ...)
• We assume ideal Boolean algebra over binary variables

Concept / Approach:
De Morgan states: NOT (A + B) = (NOT A) (NOT B) and NOT (A B) = (NOT A) + (NOT B). Therefore, a NOR function is equivalent to an AND of complemented inputs. These two expressions generate identical truth tables because they are algebraically equivalent.

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